With a CYA of 60, you need to keep your chlorine in the 5-10 ppm range all the time, otherwise you're going to end up with a green pool. With your chlorine being low, and your CC already at 1.0, I would go ahead and shock the pool, which is going to mean raising your chlorine to 20 ppm to get rid of whatever's trying to grow in there. As Pooldoc pointed out, each gallon of bleach will raise your chlorine by 2 ppm, so you need to add more like 10 gallons in order to achieve shock level for your CYA.

How does your water look?